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Transition mechanisms in laminar separation bubbles with and without incoming wakes and synthetic jet effects

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Abstract

Laminar separation and transition processes of the boundary layer developing under a strong adverse pressure gradient, typical of Ultra-High-Lift turbine profiles, have been experimentally investigated for a low Reynolds number case. The boundary layer development has been surveyed for different conditions: with steady inflow, with incoming wakes and with the synchronized forcing effects due to both incoming wakes and synthetic jet (zero net mass flow rate jet). In this latter case, the jet Strouhal number has been set equal to half the wake-reduced frequency to synchronize the unsteady forcing effects on the boundary layer. Measurements have been taken by means of a single-sensor hot-wire anemometer. For the steady inflow case, particle image velocimetry has been employed to visualize the large-scale vortical structures shed as a consequence of the Kelvin–Helmholtz instability mechanism. For the unsteady inflow cases, a phase-locked ensemble averaging technique, synchronized with the wake and the synthetic jet frequencies, has been adopted to reconstruct the boundary layer space-time evolution. Results have been represented as color plots, for several time instants of the forcing effect period, in order to provide an overall view of the time-dependent transition and separation processes in terms of ensemble-averaged velocity and unresolved unsteadiness distributions. The phase-locked distributions of the unresolved unsteadiness allowed the identification of the instability mechanisms driving transition as well as the Kelvin–Helmholtz structures that grow within the separated shear layer during the incoming wake interval and the synthetic jet operating period. Incoming wakes and synthetic jet effects in reducing and/or suppressing flow separation are investigated in depth.

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Abbreviations

C μ :

Jet momentum coefficient \(=\frac{\overline{I}_{j}}{0.5\rho_{0}U_{{\rm ref}}^{2}S}\)

f :

Frequency

f + :

Incoming wake reduced frequency \(=\frac{f_{{\rm wake}}L}{U_{0}}\)

H 1,2 :

Boundary layer shape factor

\(\overline{I_{j}}\) :

Mean jet momentum \(=\frac{1}{T_{j}/2}\rho_{j}S_{j}\int\limits_{0}^{T_{j}/2}u_{j}^{2}(t)\hbox{d}t\)

L :

Plate length

r :

Jet to main flow velocity ratio \(r=\frac{{u}_{{\rm M,j}}}{U_{{\rm ref}}}\)

Re :

Inlet Reynolds number = U 0 L/ν

S :

Main flow passage section

S j :

Synthetic jet passage section

St :

Synthetic jet Strouhal number \(=\frac{f_{j}L}{U_{0}}\)

t :

Time

T :

Wake passage period

T j :

Synthetic jet period

u :

Streamwise velocity

\(\overline{u}\) :

Mean velocity within the separated shear layer

u j :

Velocity induced by synthetic jet actuation

U 0 :

Inlet free-stream velocity

U e :

Local free-stream velocity

u infl :

Streamwise velocity at the inflection point

u M,j :

Maximum jet velocity

u′rms :

Velocity fluctuation root mean square

U ref :

Time-averaged free-stream velocity at x/L = 0.3

U wake :

Incoming wake peripheral velocity

x :

Axial coordinate

y :

Coordinate normal to the wall

δ w :

Vorticity thickness \(=\Updelta u/(\partial u/\partial y)_{{\rm max}}\)

\(\varphi\) :

Flow coefficient \(=\frac{U_{0}}{U_{{\rm wake}}}\)

λ2 :

Imaginary part of the velocity gradient tensor eigenvalue

ν:

Kinematic viscosity

ρ0 :

Main flow density

ρ j :

Synthetic jet density

ω*:

Dimensionless vortex shedding frequency = \(0.25\delta_{w}(2\pi f)/\overline{u}\)

′:

Fluctuating component

\( \left\langle {} \right\rangle \) :

Ensemble-averaged quantity

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Acknowledgments

The authors gratefully acknowledge the financial support of the European Commission as part of the research project TATMo, ‘Turbulence and Transition Modeling for Special Turbomachinery Applications’. The authors thank Ph.D. Andrea Ghiglione for the precious support in the design and manufacturing of the facility.

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Authors and Affiliations

  1. DIMSET, Università di Genova, Via Montallegro 1, 16145, Genova, Italy

    Daniele Simoni, Marina Ubaldi & Pietro Zunino

  2. Avio R. D., Via I Maggio, 99, 10040, Rivalta, TO, Italy

    Francesco Bertini

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  1. Daniele Simoni
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  2. Marina Ubaldi
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  3. Pietro Zunino
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  4. Francesco Bertini
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Correspondence to Daniele Simoni.

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Simoni, D., Ubaldi, M., Zunino, P. et al. Transition mechanisms in laminar separation bubbles with and without incoming wakes and synthetic jet effects. Exp Fluids 53, 173–186 (2012). https://doi.org/10.1007/s00348-012-1281-9

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  • DOI: https://doi.org/10.1007/s00348-012-1281-9

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